%0 Journal Article %T Explicit Examples in $NK_{1}$ %A Scott Schmieding %J Mathematics %D 2015 %I arXiv %X For certain rings $\mathcal{R}$, we construct explicit matrices representing nonzero classes in the algebraic $K$ theory group $NK_{1}(\mathcal{R})$. %U http://arxiv.org/abs/1506.07418v1